TSTP Solution File: GEO617+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:08 EDT 2022
% Result : Theorem 29.82s 30.28s
% Output : Refutation 29.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jun 17 20:04:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.12 *** allocated 10000 integers for termspace/termends
% 0.43/1.12 *** allocated 10000 integers for clauses
% 0.43/1.12 *** allocated 10000 integers for justifications
% 0.43/1.12 Bliksem 1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Automatic Strategy Selection
% 0.43/1.12
% 0.43/1.12 *** allocated 15000 integers for termspace/termends
% 0.43/1.12
% 0.43/1.12 Clauses:
% 0.43/1.12
% 0.43/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.43/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.43/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.43/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.43/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.43/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.43/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.43/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.43/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.43/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.43/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.43/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.43/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.43/1.12 ( X, Y, Z, T ) }.
% 0.43/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.43/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.43/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.43/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.43/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.43/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.43/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.43/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.43/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.43/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.43/1.12 ( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.43/1.12 ( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.43/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.43/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.43/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.43/1.12 T ) }.
% 0.43/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.43/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.43/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.43/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.43/1.12 ) }.
% 0.43/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.43/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.43/1.12 }.
% 0.43/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.43/1.12 Z, Y ) }.
% 0.43/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.43/1.12 X, Z ) }.
% 0.43/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.43/1.12 U ) }.
% 0.43/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.43/1.12 , Z ), midp( Z, X, Y ) }.
% 0.43/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.43/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.43/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.43/1.12 Z, Y ) }.
% 0.43/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.43/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.43/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.43/1.12 ( Y, X, X, Z ) }.
% 0.43/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.43/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.43/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.43/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.43/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.43/1.12 , W ) }.
% 0.43/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.43/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.43/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.43/1.12 , Y ) }.
% 0.43/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.43/1.12 , X, Z, U, Y, Y, T ) }.
% 0.43/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.43/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.43/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.43/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.43/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.43/1.12 .
% 0.43/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.43/1.12 , Z, T ) }.
% 0.43/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.43/1.12 , Z, T ) }.
% 0.43/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.43/1.12 , Z, T ) }.
% 0.43/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.43/1.12 , W, Z, T ), Z, T ) }.
% 0.43/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.43/1.12 , Y, Z, T ), X, Y ) }.
% 0.43/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.43/1.12 , W, Z, T ), Z, T ) }.
% 0.43/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.43/1.12 skol2( X, Y, Z, T ) ) }.
% 0.43/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.43/1.12 , W, Z, T ), Z, T ) }.
% 0.43/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.43/1.12 skol3( X, Y, Z, T ) ) }.
% 0.43/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.43/1.12 , T ) }.
% 0.43/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.43/1.12 ) ) }.
% 0.43/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.43/1.12 skol5( W, Y, Z, T ) ) }.
% 0.43/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.43/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.43/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.43/1.12 , X, T ) }.
% 0.43/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.43/1.12 W, X, Z ) }.
% 0.43/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.43/1.12 , Y, T ) }.
% 0.43/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.43/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.43/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.43/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.43/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.43/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.43/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.43/1.12 Z, T ) ) }.
% 0.43/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.43/1.12 , T ) ) }.
% 0.43/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.43/1.12 , X, Y ) }.
% 0.43/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.43/1.12 ) }.
% 0.43/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.43/1.12 , Y ) }.
% 0.43/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.43/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.43/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.43/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.43/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 6.35/6.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.35/6.81 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 6.35/6.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.35/6.81 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 6.35/6.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.35/6.81 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 6.35/6.81 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 6.35/6.81 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 6.35/6.81 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 6.35/6.81 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 6.35/6.81 skol14( X, Y, Z ), X, Y, Z ) }.
% 6.35/6.81 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 6.35/6.81 X, Y, Z ) }.
% 6.35/6.81 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 6.35/6.81 }.
% 6.35/6.81 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 6.35/6.81 ) }.
% 6.35/6.81 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 6.35/6.81 skol17( X, Y ), X, Y ) }.
% 6.35/6.81 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 6.35/6.81 }.
% 6.35/6.81 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 6.35/6.81 ) }.
% 6.35/6.81 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.35/6.81 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 6.35/6.81 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.35/6.81 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 6.35/6.81 { circle( skol22, skol25, skol26, skol20 ) }.
% 6.35/6.81 { eqangle( skol23, skol20, skol20, skol26, skol23, skol20, skol20, skol25 )
% 6.35/6.81 }.
% 6.35/6.81 { coll( skol23, skol25, skol26 ) }.
% 6.35/6.81 { perp( skol24, skol20, skol25, skol26 ) }.
% 6.35/6.81 { coll( skol24, skol25, skol26 ) }.
% 6.35/6.81 { ! eqangle( skol24, skol20, skol20, skol23, skol23, skol20, skol20, skol22
% 6.35/6.81 ) }.
% 6.35/6.81
% 6.35/6.81 percentage equality = 0.008824, percentage horn = 0.926230
% 6.35/6.81 This is a problem with some equality
% 6.35/6.81
% 6.35/6.81
% 6.35/6.81
% 6.35/6.81 Options Used:
% 6.35/6.81
% 6.35/6.81 useres = 1
% 6.35/6.81 useparamod = 1
% 6.35/6.81 useeqrefl = 1
% 6.35/6.81 useeqfact = 1
% 6.35/6.81 usefactor = 1
% 6.35/6.81 usesimpsplitting = 0
% 6.35/6.81 usesimpdemod = 5
% 6.35/6.81 usesimpres = 3
% 6.35/6.81
% 6.35/6.81 resimpinuse = 1000
% 6.35/6.81 resimpclauses = 20000
% 6.35/6.81 substype = eqrewr
% 6.35/6.81 backwardsubs = 1
% 6.35/6.81 selectoldest = 5
% 6.35/6.81
% 6.35/6.81 litorderings [0] = split
% 6.35/6.81 litorderings [1] = extend the termordering, first sorting on arguments
% 6.35/6.81
% 6.35/6.81 termordering = kbo
% 6.35/6.81
% 6.35/6.81 litapriori = 0
% 6.35/6.81 termapriori = 1
% 6.35/6.81 litaposteriori = 0
% 6.35/6.81 termaposteriori = 0
% 6.35/6.81 demodaposteriori = 0
% 6.35/6.81 ordereqreflfact = 0
% 6.35/6.81
% 6.35/6.81 litselect = negord
% 6.35/6.81
% 6.35/6.81 maxweight = 15
% 6.35/6.81 maxdepth = 30000
% 6.35/6.81 maxlength = 115
% 6.35/6.81 maxnrvars = 195
% 6.35/6.81 excuselevel = 1
% 6.35/6.81 increasemaxweight = 1
% 6.35/6.81
% 6.35/6.81 maxselected = 10000000
% 6.35/6.81 maxnrclauses = 10000000
% 6.35/6.81
% 6.35/6.81 showgenerated = 0
% 6.35/6.81 showkept = 0
% 6.35/6.81 showselected = 0
% 6.35/6.81 showdeleted = 0
% 6.35/6.81 showresimp = 1
% 6.35/6.81 showstatus = 2000
% 6.35/6.81
% 6.35/6.81 prologoutput = 0
% 6.35/6.81 nrgoals = 5000000
% 6.35/6.81 totalproof = 1
% 6.35/6.81
% 6.35/6.81 Symbols occurring in the translation:
% 6.35/6.81
% 6.35/6.81 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.35/6.81 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 6.35/6.81 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 6.35/6.81 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.35/6.81 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.35/6.81 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 6.35/6.81 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 6.35/6.81 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 6.35/6.81 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 6.35/6.81 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 6.35/6.81 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 6.35/6.81 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 6.35/6.81 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 6.35/6.81 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 6.35/6.81 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 6.35/6.81 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 6.35/6.81 alpha1 [64, 3] (w:1, o:65, a:1, s:1, b:1),
% 6.35/6.81 alpha2 [65, 4] (w:1, o:76, a:1, s:1, b:1),
% 6.35/6.81 skol1 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 6.35/6.81 skol2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 6.35/6.81 skol3 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 6.35/6.81 skol4 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 6.35/6.81 skol5 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 6.35/6.81 skol6 [71, 6] (w:1, o:89, a:1, s:1, b:1),
% 6.35/6.81 skol7 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 6.35/6.81 skol8 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 29.82/30.28 skol9 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 29.82/30.28 skol10 [75, 3] (w:1, o:66, a:1, s:1, b:1),
% 29.82/30.28 skol11 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 29.82/30.28 skol12 [77, 2] (w:1, o:60, a:1, s:1, b:1),
% 29.82/30.28 skol13 [78, 5] (w:1, o:86, a:1, s:1, b:1),
% 29.82/30.28 skol14 [79, 3] (w:1, o:68, a:1, s:1, b:1),
% 29.82/30.28 skol15 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 29.82/30.28 skol16 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 29.82/30.28 skol17 [82, 2] (w:1, o:61, a:1, s:1, b:1),
% 29.82/30.28 skol18 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 29.82/30.28 skol19 [84, 4] (w:1, o:78, a:1, s:1, b:1),
% 29.82/30.28 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 29.82/30.28 skol21 [86, 4] (w:1, o:80, a:1, s:1, b:1),
% 29.82/30.28 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 29.82/30.28 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 29.82/30.28 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 29.82/30.28 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 29.82/30.28 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Starting Search:
% 29.82/30.28
% 29.82/30.28 *** allocated 15000 integers for clauses
% 29.82/30.28 *** allocated 22500 integers for clauses
% 29.82/30.28 *** allocated 33750 integers for clauses
% 29.82/30.28 *** allocated 22500 integers for termspace/termends
% 29.82/30.28 *** allocated 50625 integers for clauses
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 75937 integers for clauses
% 29.82/30.28 *** allocated 33750 integers for termspace/termends
% 29.82/30.28 *** allocated 113905 integers for clauses
% 29.82/30.28 *** allocated 50625 integers for termspace/termends
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 20971
% 29.82/30.28 Kept: 2049
% 29.82/30.28 Inuse: 331
% 29.82/30.28 Deleted: 1
% 29.82/30.28 Deletedinuse: 1
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 170857 integers for clauses
% 29.82/30.28 *** allocated 75937 integers for termspace/termends
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 256285 integers for clauses
% 29.82/30.28 *** allocated 113905 integers for termspace/termends
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 41024
% 29.82/30.28 Kept: 4100
% 29.82/30.28 Inuse: 471
% 29.82/30.28 Deleted: 1
% 29.82/30.28 Deletedinuse: 1
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 170857 integers for termspace/termends
% 29.82/30.28 *** allocated 384427 integers for clauses
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 55127
% 29.82/30.28 Kept: 6154
% 29.82/30.28 Inuse: 541
% 29.82/30.28 Deleted: 1
% 29.82/30.28 Deletedinuse: 1
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 77509
% 29.82/30.28 Kept: 8157
% 29.82/30.28 Inuse: 725
% 29.82/30.28 Deleted: 2
% 29.82/30.28 Deletedinuse: 1
% 29.82/30.28
% 29.82/30.28 *** allocated 576640 integers for clauses
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 256285 integers for termspace/termends
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 100159
% 29.82/30.28 Kept: 10384
% 29.82/30.28 Inuse: 810
% 29.82/30.28 Deleted: 12
% 29.82/30.28 Deletedinuse: 6
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 111512
% 29.82/30.28 Kept: 12669
% 29.82/30.28 Inuse: 855
% 29.82/30.28 Deleted: 16
% 29.82/30.28 Deletedinuse: 10
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 864960 integers for clauses
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 118799
% 29.82/30.28 Kept: 14673
% 29.82/30.28 Inuse: 883
% 29.82/30.28 Deleted: 18
% 29.82/30.28 Deletedinuse: 12
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 384427 integers for termspace/termends
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 138616
% 29.82/30.28 Kept: 16690
% 29.82/30.28 Inuse: 1008
% 29.82/30.28 Deleted: 41
% 29.82/30.28 Deletedinuse: 25
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 153496
% 29.82/30.28 Kept: 18694
% 29.82/30.28 Inuse: 1105
% 29.82/30.28 Deleted: 89
% 29.82/30.28 Deletedinuse: 67
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 1297440 integers for clauses
% 29.82/30.28 Resimplifying clauses:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 169807
% 29.82/30.28 Kept: 20694
% 29.82/30.28 Inuse: 1245
% 29.82/30.28 Deleted: 2091
% 29.82/30.28 Deletedinuse: 76
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 185334
% 29.82/30.28 Kept: 22712
% 29.82/30.28 Inuse: 1387
% 29.82/30.28 Deleted: 2101
% 29.82/30.28 Deletedinuse: 86
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 202998
% 29.82/30.28 Kept: 24719
% 29.82/30.28 Inuse: 1502
% 29.82/30.28 Deleted: 2116
% 29.82/30.28 Deletedinuse: 100
% 29.82/30.28
% 29.82/30.28 *** allocated 576640 integers for termspace/termends
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 211874
% 29.82/30.28 Kept: 27149
% 29.82/30.28 Inuse: 1538
% 29.82/30.28 Deleted: 2119
% 29.82/30.28 Deletedinuse: 103
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 219929
% 29.82/30.28 Kept: 29159
% 29.82/30.28 Inuse: 1563
% 29.82/30.28 Deleted: 2120
% 29.82/30.28 Deletedinuse: 104
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 1946160 integers for clauses
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 228344
% 29.82/30.28 Kept: 31355
% 29.82/30.28 Inuse: 1578
% 29.82/30.28 Deleted: 2123
% 29.82/30.28 Deletedinuse: 107
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 241407
% 29.82/30.28 Kept: 33359
% 29.82/30.28 Inuse: 1632
% 29.82/30.28 Deleted: 2137
% 29.82/30.28 Deletedinuse: 121
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 255859
% 29.82/30.28 Kept: 35371
% 29.82/30.28 Inuse: 1691
% 29.82/30.28 Deleted: 2148
% 29.82/30.28 Deletedinuse: 132
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 270926
% 29.82/30.28 Kept: 37383
% 29.82/30.28 Inuse: 1804
% 29.82/30.28 Deleted: 2162
% 29.82/30.28 Deletedinuse: 141
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 277904
% 29.82/30.28 Kept: 39632
% 29.82/30.28 Inuse: 1822
% 29.82/30.28 Deleted: 2163
% 29.82/30.28 Deletedinuse: 141
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 864960 integers for termspace/termends
% 29.82/30.28 Resimplifying clauses:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 293935
% 29.82/30.28 Kept: 41632
% 29.82/30.28 Inuse: 1995
% 29.82/30.28 Deleted: 8122
% 29.82/30.28 Deletedinuse: 144
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 320172
% 29.82/30.28 Kept: 43645
% 29.82/30.28 Inuse: 2157
% 29.82/30.28 Deleted: 8129
% 29.82/30.28 Deletedinuse: 151
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 338928
% 29.82/30.28 Kept: 45648
% 29.82/30.28 Inuse: 2318
% 29.82/30.28 Deleted: 8133
% 29.82/30.28 Deletedinuse: 155
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 *** allocated 2919240 integers for clauses
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 373843
% 29.82/30.28 Kept: 47650
% 29.82/30.28 Inuse: 2492
% 29.82/30.28 Deleted: 8141
% 29.82/30.28 Deletedinuse: 161
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 417121
% 29.82/30.28 Kept: 49662
% 29.82/30.28 Inuse: 2600
% 29.82/30.28 Deleted: 8192
% 29.82/30.28 Deletedinuse: 165
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 520936
% 29.82/30.28 Kept: 51668
% 29.82/30.28 Inuse: 2770
% 29.82/30.28 Deleted: 8339
% 29.82/30.28 Deletedinuse: 273
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Intermediate Status:
% 29.82/30.28 Generated: 560246
% 29.82/30.28 Kept: 53683
% 29.82/30.28 Inuse: 2915
% 29.82/30.28 Deleted: 8378
% 29.82/30.28 Deletedinuse: 276
% 29.82/30.28
% 29.82/30.28 Resimplifying inuse:
% 29.82/30.28 Done
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Bliksems!, er is een bewijs:
% 29.82/30.28 % SZS status Theorem
% 29.82/30.28 % SZS output start Refutation
% 29.82/30.28
% 29.82/30.28 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 29.82/30.28 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 29.82/30.28 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 29.82/30.28 , Z, X ) }.
% 29.82/30.28 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 29.82/30.28 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 29.82/30.28 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 29.82/30.28 para( X, Y, Z, T ) }.
% 29.82/30.28 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 29.82/30.28 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 29.82/30.28 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 29.82/30.28 para( X, Y, Z, T ) }.
% 29.82/30.28 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 29.82/30.28 }.
% 29.82/30.28 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 29.82/30.28 }.
% 29.82/30.28 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 29.82/30.28 }.
% 29.82/30.28 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 29.82/30.28 ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.82/30.28 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.82/30.28 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.82/30.28 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.82/30.28 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 29.82/30.28 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 29.82/30.28 V1 ) }.
% 29.82/30.28 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 29.82/30.28 , Y, Z, T ) }.
% 29.82/30.28 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 29.82/30.28 , T, U, W ) }.
% 29.82/30.28 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 29.82/30.28 T, X, T, Y ) }.
% 29.82/30.28 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 29.82/30.28 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 29.82/30.28 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 29.82/30.28 , Y, Z, T ) }.
% 29.82/30.28 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 29.82/30.28 perp( X, Y, Z, T ) }.
% 29.82/30.28 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 29.82/30.28 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 29.82/30.28 alpha1( X, Y, Z ) }.
% 29.82/30.28 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 29.82/30.28 , Z, X ) }.
% 29.82/30.28 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 29.82/30.28 , X, X, Y ) }.
% 29.82/30.28 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol25, skol26, skol20 ) }.
% 29.82/30.28 (117) {G0,W9,D2,L1,V0,M1} I { eqangle( skol23, skol20, skol20, skol26,
% 29.82/30.28 skol23, skol20, skol20, skol25 ) }.
% 29.82/30.28 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 ) }.
% 29.82/30.28 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol20, skol25, skol26 ) }.
% 29.82/30.28 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 ) }.
% 29.82/30.28 (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol20, skol20, skol23,
% 29.82/30.28 skol23, skol20, skol20, skol22 ) }.
% 29.82/30.28 (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 29.82/30.28 (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol26, skol25 ) }.
% 29.82/30.28 (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol26, skol25 ) }.
% 29.82/30.28 (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol26, skol24, skol25 ) }.
% 29.82/30.28 (170) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol26, skol25, skol24 ) }.
% 29.82/30.28 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 29.82/30.28 coll( Z, X, T ) }.
% 29.82/30.28 (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 29.82/30.28 (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 29.82/30.28 coll( X, Z, T ) }.
% 29.82/30.28 (220) {G4,W4,D2,L1,V0,M1} R(200,170) { coll( skol24, skol26, skol24 ) }.
% 29.82/30.28 (225) {G3,W4,D2,L1,V0,M1} R(200,160) { coll( skol25, skol23, skol25 ) }.
% 29.82/30.28 (228) {G3,W4,D2,L1,V0,M1} R(200,118) { coll( skol26, skol23, skol26 ) }.
% 29.82/30.28 (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 29.82/30.28 (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 29.82/30.28 ), ! para( X, Y, U, W ) }.
% 29.82/30.28 (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 29.82/30.28 ) }.
% 29.82/30.28 (271) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol25, skol26, skol24, skol20 )
% 29.82/30.28 }.
% 29.82/30.28 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 29.82/30.28 ), ! perp( X, Y, U, W ) }.
% 29.82/30.28 (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol25, skol26, X, Y ), para
% 29.82/30.28 ( skol24, skol20, X, Y ) }.
% 29.82/30.28 (294) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol24, skol24, skol26 ) }.
% 29.82/30.28 (296) {G6,W8,D2,L2,V1,M2} R(294,2) { ! coll( skol24, skol24, X ), coll(
% 29.82/30.28 skol26, X, skol24 ) }.
% 29.82/30.28 (315) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol25, skol25, skol23 ) }.
% 29.82/30.28 (318) {G5,W8,D2,L2,V1,M2} R(315,2) { ! coll( skol25, skol25, X ), coll( X,
% 29.82/30.28 skol23, skol25 ) }.
% 29.82/30.28 (321) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26, skol23 ) }.
% 29.82/30.28 (323) {G5,W8,D2,L2,V1,M2} R(321,2) { ! coll( skol26, skol26, X ), coll(
% 29.82/30.28 skol23, X, skol26 ) }.
% 29.82/30.28 (334) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol26, skol20, skol24 )
% 29.82/30.28 }.
% 29.82/30.28 (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 29.82/30.28 , T, Y ) }.
% 29.82/30.28 (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 29.82/30.28 , X, T ) }.
% 29.82/30.28 (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 29.82/30.28 , T, Z ) }.
% 29.82/30.28 (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 29.82/30.28 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 29.82/30.28 (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 29.82/30.28 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.82/30.28 (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 29.82/30.28 , T ) }.
% 29.82/30.28 (390) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 29.82/30.28 (397) {G6,W8,D2,L2,V3,M2} R(390,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 29.82/30.28 (399) {G6,W8,D2,L2,V3,M2} R(390,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 29.82/30.28 (401) {G7,W8,D2,L2,V3,M2} R(397,390) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 29.82/30.28 }.
% 29.82/30.28 (426) {G7,W8,D2,L2,V3,M2} R(399,399) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 29.82/30.28 }.
% 29.82/30.28 (429) {G8,W12,D2,L3,V4,M3} R(426,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 29.82/30.28 , coll( T, Y, X ) }.
% 29.82/30.28 (430) {G9,W8,D2,L2,V3,M2} F(429) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 29.82/30.28 (431) {G10,W8,D2,L2,V3,M2} R(430,426) { coll( X, X, Y ), ! coll( Y, X, Z )
% 29.82/30.28 }.
% 29.82/30.28 (432) {G10,W8,D2,L2,V3,M2} R(430,399) { coll( X, X, Y ), ! coll( X, Y, Z )
% 29.82/30.28 }.
% 29.82/30.28 (436) {G10,W8,D2,L2,V3,M2} R(430,401) { coll( X, X, Y ), ! coll( Z, Y, X )
% 29.82/30.28 }.
% 29.82/30.28 (444) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 29.82/30.28 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 29.82/30.28 (466) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 29.82/30.28 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 29.82/30.28 , Y, Z, T ) }.
% 29.82/30.28 (472) {G11,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), ! coll( Z, Z, T )
% 29.82/30.28 , coll( Y, T, Z ) }.
% 29.82/30.28 (752) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), ! eqangle( U, W,
% 29.82/30.28 X, Y, U, W, Z, T ) }.
% 29.82/30.28 (765) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 29.82/30.28 Z, T, U, W, U, W ) }.
% 29.82/30.28 (767) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 29.82/30.28 X, Y, U, W, Z, T ) }.
% 29.82/30.28 (771) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 29.82/30.28 para( X, Y, W, U ) }.
% 29.82/30.28 (825) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 29.82/30.28 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 29.82/30.28 (896) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 29.82/30.28 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 29.82/30.28 (928) {G2,W15,D2,L3,V3,M3} F(896) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 29.82/30.28 , Z, Y ), cong( X, Y, X, Y ) }.
% 29.82/30.28 (4816) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25, skol22 ),
% 29.82/30.28 skol25, skol25, skol22 ) }.
% 29.82/30.28 (7003) {G2,W7,D3,L1,V0,M1} R(4816,7) { perp( skol25, skol22, skol12( skol25
% 29.82/30.28 , skol22 ), skol25 ) }.
% 29.82/30.28 (7014) {G3,W7,D3,L1,V0,M1} R(7003,6) { perp( skol25, skol22, skol25, skol12
% 29.82/30.28 ( skol25, skol22 ) ) }.
% 29.82/30.28 (7028) {G4,W7,D3,L1,V0,M1} R(7014,7) { perp( skol25, skol12( skol25, skol22
% 29.82/30.28 ), skol25, skol22 ) }.
% 29.82/30.28 (7059) {G5,W4,D2,L1,V0,M1} R(7028,96);r(7028) { alpha1( skol25, skol25,
% 29.82/30.28 skol22 ) }.
% 29.82/30.28 (7076) {G6,W7,D3,L1,V1,M1} R(7059,97) { coll( skol11( skol25, X, skol22 ),
% 29.82/30.28 skol22, skol25 ) }.
% 29.82/30.28 (7159) {G7,W7,D3,L1,V1,M1} R(7076,122) { coll( skol25, skol25, skol11(
% 29.82/30.28 skol25, X, skol22 ) ) }.
% 29.82/30.28 (19129) {G3,W5,D2,L1,V0,M1} R(286,334) { para( skol24, skol20, skol20,
% 29.82/30.28 skol24 ) }.
% 29.82/30.28 (19133) {G4,W5,D2,L1,V0,M1} R(19129,252) { para( skol20, skol24, skol20,
% 29.82/30.28 skol24 ) }.
% 29.82/30.28 (19143) {G5,W4,D2,L1,V0,M1} R(19133,66) { coll( skol20, skol24, skol24 )
% 29.82/30.28 }.
% 29.82/30.28 (19158) {G6,W4,D2,L1,V0,M1} R(19143,122) { coll( skol24, skol24, skol20 )
% 29.82/30.28 }.
% 29.82/30.28 (19519) {G7,W4,D2,L1,V0,M1} R(296,19158) { coll( skol26, skol20, skol24 )
% 29.82/30.28 }.
% 29.82/30.28 (19570) {G11,W4,D2,L1,V0,M1} R(19519,432) { coll( skol26, skol26, skol20 )
% 29.82/30.28 }.
% 29.82/30.28 (20657) {G8,W7,D3,L1,V1,M1} R(318,7159) { coll( skol11( skol25, X, skol22 )
% 29.82/30.28 , skol23, skol25 ) }.
% 29.82/30.28 (20728) {G12,W4,D2,L1,V0,M1} R(323,19570) { coll( skol23, skol20, skol26 )
% 29.82/30.28 }.
% 29.82/30.28 (20790) {G13,W4,D2,L1,V0,M1} R(20728,432) { coll( skol23, skol23, skol20 )
% 29.82/30.28 }.
% 29.82/30.28 (21246) {G9,W7,D3,L1,V1,M1} R(20657,0) { coll( skol11( skol25, X, skol22 )
% 29.82/30.28 , skol25, skol23 ) }.
% 29.82/30.28 (35084) {G14,W8,D2,L2,V2,M2} R(472,20790) { ! coll( X, Y, skol23 ), coll( Y
% 29.82/30.28 , skol20, skol23 ) }.
% 29.82/30.28 (35274) {G15,W4,D2,L1,V0,M1} R(35084,21246) { coll( skol25, skol20, skol23
% 29.82/30.28 ) }.
% 29.82/30.28 (35342) {G16,W4,D2,L1,V0,M1} R(35274,431) { coll( skol20, skol20, skol25 )
% 29.82/30.28 }.
% 29.82/30.28 (44435) {G2,W5,D2,L1,V0,M1} R(752,117) { para( skol20, skol26, skol20,
% 29.82/30.28 skol25 ) }.
% 29.82/30.28 (44453) {G3,W5,D2,L1,V0,M1} R(44435,252) { para( skol20, skol25, skol20,
% 29.82/30.28 skol25 ) }.
% 29.82/30.28 (45318) {G4,W9,D2,L1,V2,M1} R(767,44453) { eqangle( X, Y, skol20, skol25, X
% 29.82/30.28 , Y, skol20, skol25 ) }.
% 29.82/30.28 (48670) {G17,W5,D2,L1,V1,M1} R(825,35342);r(45318) { cyclic( X, skol25,
% 29.82/30.28 skol20, skol20 ) }.
% 29.82/30.28 (48841) {G18,W5,D2,L1,V1,M1} R(48670,367) { cyclic( skol25, X, skol20,
% 29.82/30.28 skol20 ) }.
% 29.82/30.28 (48853) {G19,W5,D2,L1,V1,M1} R(48841,386) { cyclic( skol20, X, skol20,
% 29.82/30.28 skol20 ) }.
% 29.82/30.28 (48875) {G20,W5,D2,L1,V1,M1} R(48853,365) { cyclic( skol20, skol20, X,
% 29.82/30.28 skol20 ) }.
% 29.82/30.28 (48876) {G20,W5,D2,L1,V1,M1} R(48853,352) { cyclic( skol20, skol20, skol20
% 29.82/30.28 , X ) }.
% 29.82/30.28 (48881) {G21,W5,D2,L1,V2,M1} R(48875,382);r(48876) { cyclic( skol20, skol20
% 29.82/30.28 , X, Y ) }.
% 29.82/30.28 (49077) {G22,W5,D2,L1,V3,M1} R(48881,382);r(48881) { cyclic( skol20, X, Y,
% 29.82/30.28 Z ) }.
% 29.82/30.28 (49096) {G23,W5,D2,L1,V4,M1} R(49077,382);r(49077) { cyclic( X, Y, Z, T )
% 29.82/30.28 }.
% 29.82/30.28 (53724) {G24,W5,D2,L1,V2,M1} S(928);r(49096);r(49096) { cong( X, Y, X, Y )
% 29.82/30.28 }.
% 29.82/30.28 (53741) {G25,W5,D2,L1,V3,M1} R(53724,56);r(53724) { perp( X, X, Z, Y ) }.
% 29.82/30.28 (53770) {G26,W5,D2,L1,V4,M1} R(53741,279);r(53741) { para( X, Y, Z, T ) }.
% 29.82/30.28 (53861) {G27,W9,D2,L1,V6,M1} S(771);r(53770) { eqangle( X, Y, Z, T, U, W, Z
% 29.82/30.28 , T ) }.
% 29.82/30.28 (53863) {G27,W9,D2,L1,V6,M1} S(765);r(53770) { eqangle( X, Y, Z, T, U, W, U
% 29.82/30.28 , W ) }.
% 29.82/30.28 (54048) {G28,W9,D2,L1,V6,M1} R(53861,444) { eqangle( X, Y, X, Y, Z, T, U, W
% 29.82/30.28 ) }.
% 29.82/30.28 (54050) {G29,W9,D2,L1,V8,M1} R(54048,466);r(53863) { eqangle( X, Y, Z, T, U
% 29.82/30.28 , W, V0, V1 ) }.
% 29.82/30.28 (54051) {G30,W0,D0,L0,V0,M0} R(54050,121) { }.
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 % SZS output end Refutation
% 29.82/30.28 found a proof!
% 29.82/30.28
% 29.82/30.28
% 29.82/30.28 Unprocessed initial clauses:
% 29.82/30.28
% 29.82/30.28 (54053) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 29.82/30.28 (54054) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 29.82/30.28 (54055) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 29.82/30.28 ( Y, Z, X ) }.
% 29.82/30.28 (54056) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 29.82/30.28 }.
% 29.82/30.28 (54057) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 29.82/30.28 }.
% 29.82/30.28 (54058) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 29.82/30.28 , para( X, Y, Z, T ) }.
% 29.82/30.28 (54059) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 29.82/30.28 }.
% 29.82/30.28 (54060) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 29.82/30.28 }.
% 29.82/30.28 (54061) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 29.82/30.28 , para( X, Y, Z, T ) }.
% 29.82/30.28 (54062) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 29.82/30.28 , perp( X, Y, Z, T ) }.
% 29.82/30.28 (54063) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 29.82/30.28 (54064) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 29.82/30.28 , circle( T, X, Y, Z ) }.
% 29.82/30.28 (54065) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 29.82/30.28 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (54066) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 29.82/30.28 ) }.
% 29.82/30.28 (54067) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 29.82/30.28 ) }.
% 29.82/30.28 (54068) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 29.82/30.28 ) }.
% 29.82/30.28 (54069) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 29.82/30.28 T ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (54070) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.82/30.28 (54071) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.82/30.28 (54072) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.82/30.28 (54073) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.82/30.28 (54074) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 29.82/30.28 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 29.82/30.28 V1 ) }.
% 29.82/30.28 (54075) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 29.82/30.28 }.
% 29.82/30.28 (54076) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 29.82/30.28 }.
% 29.82/30.28 (54077) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 29.82/30.28 , cong( X, Y, Z, T ) }.
% 29.82/30.28 (54078) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.82/30.28 (54079) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 29.82/30.28 (54080) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 29.82/30.28 (54081) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 29.82/30.28 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.82/30.28 (54082) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 29.82/30.28 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 29.82/30.28 V1 ) }.
% 29.82/30.28 (54083) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54084) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54085) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54086) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 29.82/30.28 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 29.82/30.28 (54087) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54088) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54089) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 29.82/30.28 , Z, T, U, W ) }.
% 29.82/30.28 (54090) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 29.82/30.28 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 29.82/30.28 (54091) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 29.82/30.28 X, Y, Z, T ) }.
% 29.82/30.28 (54092) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 29.82/30.28 Z, T, U, W ) }.
% 29.82/30.28 (54093) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 29.82/30.28 , T, X, T, Y ) }.
% 29.82/30.28 (54094) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 29.82/30.28 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (54095) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 29.82/30.28 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 29.82/30.28 (54096) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 29.82/30.28 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 29.82/30.28 , Y, Z, T ) }.
% 29.82/30.28 (54097) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 29.82/30.28 ( Z, T, X, Y ) }.
% 29.82/30.28 (54098) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 29.82/30.28 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 29.82/30.28 (54099) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 29.82/30.28 X, Y, Z, Y ) }.
% 29.82/30.28 (54100) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 29.82/30.28 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 29.82/30.28 (54101) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 29.82/30.28 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 29.82/30.28 (54102) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 29.82/30.28 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 29.82/30.28 (54103) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 29.82/30.28 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 29.82/30.28 (54104) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 29.82/30.28 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 29.82/30.28 (54105) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 29.82/30.28 cong( X, Z, Y, Z ) }.
% 29.82/30.28 (54106) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 29.82/30.28 perp( X, Y, Y, Z ) }.
% 29.82/30.28 (54107) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 29.82/30.28 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 29.82/30.28 (54108) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 29.82/30.28 cong( Z, X, Z, Y ) }.
% 29.82/30.28 (54109) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 29.82/30.28 , perp( X, Y, Z, T ) }.
% 29.82/30.28 (54110) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 29.82/30.28 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 29.82/30.28 (54111) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 29.82/30.28 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 29.82/30.28 , W ) }.
% 29.82/30.28 (54112) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 29.82/30.28 , X, Z, T, U, T, W ) }.
% 29.82/30.28 (54113) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 29.82/30.28 , Y, Z, T, U, U, W ) }.
% 29.82/30.28 (54114) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 29.82/30.28 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 29.82/30.28 (54115) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 29.82/30.28 , T ) }.
% 29.82/30.28 (54116) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 29.82/30.28 ( X, Z, Y, T ) }.
% 29.82/30.28 (54117) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 29.82/30.28 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 29.82/30.28 (54118) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 29.82/30.28 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 29.82/30.28 (54119) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 29.82/30.28 (54120) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 29.82/30.28 midp( X, Y, Z ) }.
% 29.82/30.28 (54121) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 29.82/30.28 (54122) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 29.82/30.28 (54123) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 29.82/30.28 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 29.82/30.28 (54124) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 29.82/30.28 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 29.82/30.28 (54125) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 29.82/30.28 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 29.82/30.28 (54126) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 29.82/30.28 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 29.82/30.28 (54127) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 29.82/30.28 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 29.82/30.28 (54128) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 29.82/30.28 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 29.82/30.28 (54129) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 29.82/30.28 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 29.82/30.28 (54130) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 29.82/30.28 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 29.82/30.28 (54131) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 29.82/30.28 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 29.82/30.28 (54132) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 29.82/30.28 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 29.82/30.28 (54133) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 29.82/30.28 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 29.82/30.28 (54134) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 29.82/30.28 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 29.82/30.28 (54135) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 29.82/30.28 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 29.82/30.28 (54136) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 29.82/30.28 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 29.82/30.28 (54137) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 29.82/30.28 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 29.82/30.28 (54138) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 29.82/30.28 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 29.82/30.28 , T ) ) }.
% 29.82/30.28 (54139) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 29.82/30.28 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 29.82/30.28 (54140) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 29.82/30.28 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 29.82/30.28 (54141) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 29.82/30.28 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 29.82/30.28 (54142) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 29.82/30.28 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 29.82/30.28 (54143) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 29.82/30.28 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 29.82/30.28 ) }.
% 29.82/30.28 (54144) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 29.82/30.28 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 29.82/30.28 }.
% 29.82/30.28 (54145) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 29.82/30.28 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 29.82/30.28 (54146) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 29.82/30.28 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 29.82/30.28 (54147) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 29.82/30.28 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 29.82/30.28 (54148) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 29.82/30.28 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 29.82/30.28 (54149) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 29.82/30.28 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 29.82/30.28 (54150) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 29.82/30.28 , alpha1( X, Y, Z ) }.
% 29.82/30.28 (54151) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 29.82/30.28 ), Z, X ) }.
% 29.82/30.28 (54152) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 29.82/30.28 , Z ), Z, X ) }.
% 29.82/30.28 (54153) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 29.82/30.28 alpha1( X, Y, Z ) }.
% 29.82/30.28 (54154) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 29.82/30.28 ), X, X, Y ) }.
% 29.82/30.28 (54155) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 29.82/30.28 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 29.82/30.28 ) ) }.
% 29.82/30.28 (54156) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 29.82/30.28 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 29.82/30.28 (54157) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 29.82/30.28 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 29.82/30.28 }.
% 29.82/30.28 (54158) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 29.82/30.28 (54159) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 29.82/30.28 }.
% 29.82/30.28 (54160) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 29.82/30.28 alpha2( X, Y, Z, T ) }.
% 29.82/30.28 (54161) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 29.82/30.28 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 29.82/30.28 (54162) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 29.82/30.28 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 29.82/30.28 (54163) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 29.82/30.28 coll( skol16( W, Y, Z ), Y, Z ) }.
% 29.82/30.28 (54164) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 29.82/30.28 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 29.82/30.28 (54165) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 29.82/30.28 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 29.82/30.28 (54166) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 29.82/30.28 , coll( X, Y, skol18( X, Y ) ) }.
% 29.82/30.28 (54167) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 29.82/30.28 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 29.82/30.28 (54168) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 29.82/30.28 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 29.82/30.28 }.
% 29.82/30.28 (54169) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 29.82/30.28 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 29.92/30.28 }.
% 29.92/30.28 (54170) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol25, skol26, skol20 ) }.
% 29.92/30.28 (54171) {G0,W9,D2,L1,V0,M1} { eqangle( skol23, skol20, skol20, skol26,
% 29.92/30.28 skol23, skol20, skol20, skol25 ) }.
% 29.92/30.28 (54172) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 29.92/30.28 (54173) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol25, skol26 ) }.
% 29.92/30.28 (54174) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 29.92/30.28 (54175) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol20, skol20, skol23,
% 29.92/30.28 skol23, skol20, skol20, skol22 ) }.
% 29.92/30.28
% 29.92/30.28
% 29.92/30.28 Total Proof:
% 29.92/30.28
% 29.92/30.28 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent0: (54053) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 parent0: (54054) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 29.92/30.28 Z ), coll( Y, Z, X ) }.
% 29.92/30.28 parent0: (54055) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 29.92/30.28 , T, Z ) }.
% 29.92/30.28 parent0: (54056) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 29.92/30.28 T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 29.92/30.28 , X, Y ) }.
% 29.92/30.28 parent0: (54057) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 29.92/30.28 X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 29.92/30.28 W, Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54058) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 29.92/30.28 , Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 29.92/30.28 , T, Z ) }.
% 29.92/30.28 parent0: (54059) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 29.92/30.28 T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 29.92/30.28 , X, Y ) }.
% 29.92/30.28 parent0: (54060) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 29.92/30.28 X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 29.92/30.28 W, Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54061) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 29.92/30.28 , Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 29.92/30.28 X, Y, T, Z ) }.
% 29.92/30.28 parent0: (54066) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Y, T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 29.92/30.28 X, Z, Y, T ) }.
% 29.92/30.28 parent0: (54067) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Z, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 29.92/30.28 Y, X, Z, T ) }.
% 29.92/30.28 parent0: (54068) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 29.92/30.28 , X, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 29.92/30.28 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54069) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 29.92/30.28 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 29.92/30.28 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.92/30.28 parent0: (54070) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 29.92/30.28 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.92/30.28 parent0: (54071) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 29.92/30.28 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54072) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 29.92/30.28 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.28 parent0: (54073) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 29.92/30.28 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 29.92/30.28 , U, W, V0, V1 ) }.
% 29.92/30.28 parent0: (54074) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 29.92/30.28 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 29.92/30.28 , W, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 V2 := V2
% 29.92/30.28 V3 := V3
% 29.92/30.28 V4 := V4
% 29.92/30.28 V5 := V5
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 29.92/30.28 W ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54091) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 29.92/30.28 ), para( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 29.92/30.28 , Y, U, W, Z, T, U, W ) }.
% 29.92/30.28 parent0: (54092) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 29.92/30.28 Y, U, W, Z, T, U, W ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 29.92/30.28 ( Z, X, Z, Y, T, X, T, Y ) }.
% 29.92/30.28 parent0: (54093) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 29.92/30.28 , X, Z, Y, T, X, T, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 29.92/30.28 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54095) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 29.92/30.28 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 29.92/30.28 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 29.92/30.28 ), cong( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54096) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 29.92/30.28 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 29.92/30.28 , cong( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 3 ==> 3
% 29.92/30.28 4 ==> 4
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 29.92/30.28 , T, Y, T ), perp( X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54109) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 29.92/30.28 , Y, T ), perp( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 29.92/30.28 , Z ) }.
% 29.92/30.28 parent0: (54119) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 29.92/30.28 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 29.92/30.28 , T, X, Z ), alpha1( X, Y, Z ) }.
% 29.92/30.28 parent0: (54150) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 29.92/30.28 , X, Z ), alpha1( X, Y, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 29.92/30.28 skol11( X, T, Z ), Z, X ) }.
% 29.92/30.28 parent0: (54151) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 29.92/30.28 ( X, T, Z ), Z, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 29.92/30.28 skol12( X, Y ), X, X, Y ) }.
% 29.92/30.28 parent0: (54154) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 29.92/30.28 skol12( X, Y ), X, X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol25, skol26,
% 29.92/30.28 skol20 ) }.
% 29.92/30.28 parent0: (54170) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol25, skol26,
% 29.92/30.28 skol20 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (117) {G0,W9,D2,L1,V0,M1} I { eqangle( skol23, skol20, skol20
% 29.92/30.28 , skol26, skol23, skol20, skol20, skol25 ) }.
% 29.92/30.28 parent0: (54171) {G0,W9,D2,L1,V0,M1} { eqangle( skol23, skol20, skol20,
% 29.92/30.28 skol26, skol23, skol20, skol20, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 parent0: (54172) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol20, skol25,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 parent0: (54173) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol25,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 parent0: (54174) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol20,
% 29.92/30.28 skol20, skol23, skol23, skol20, skol20, skol22 ) }.
% 29.92/30.28 parent0: (54175) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol20, skol20,
% 29.92/30.28 skol23, skol23, skol20, skol20, skol22 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54809) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 29.92/30.28 , Z ), coll( Y, Z, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Z
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 29.92/30.28 , X ) }.
% 29.92/30.28 parent0: (54809) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54810) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol23
% 29.92/30.28 Y := skol25
% 29.92/30.28 Z := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol26,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 parent0: (54810) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54811) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol25 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol25
% 29.92/30.28 Z := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol26,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 parent0: (54811) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54812) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol26,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol26
% 29.92/30.28 Z := skol25
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol26, skol24,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 parent0: (54812) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54813) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol26, skol24,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol26
% 29.92/30.28 Y := skol24
% 29.92/30.28 Z := skol25
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol26, skol25,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 parent0: (54813) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54817) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 29.92/30.28 X ), ! coll( Z, T, Y ) }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Y
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 29.92/30.28 ( X, Y, T ), coll( Z, X, T ) }.
% 29.92/30.28 parent0: (54817) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 29.92/30.28 , ! coll( Z, T, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := T
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 2
% 29.92/30.28 1 ==> 0
% 29.92/30.28 2 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54819) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 29.92/30.28 coll( X, Y, T ), coll( Z, X, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 29.92/30.28 , X, Z ) }.
% 29.92/30.28 parent0: (54819) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54820) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 29.92/30.28 X ), ! coll( Z, T, Y ) }.
% 29.92/30.28 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 X, Z ) }.
% 29.92/30.28 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Y
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll
% 29.92/30.28 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 29.92/30.28 parent0: (54820) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 29.92/30.28 , ! coll( Z, T, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := X
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54822) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol24 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 X, Z ) }.
% 29.92/30.28 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol26, skol25,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol26
% 29.92/30.28 Y := skol25
% 29.92/30.28 Z := skol24
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (220) {G4,W4,D2,L1,V0,M1} R(200,170) { coll( skol24, skol26,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 parent0: (54822) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54823) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol25 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 X, Z ) }.
% 29.92/30.28 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol26,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol23
% 29.92/30.28 Y := skol26
% 29.92/30.28 Z := skol25
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (225) {G3,W4,D2,L1,V0,M1} R(200,160) { coll( skol25, skol23,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 parent0: (54823) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54824) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 X, Z ) }.
% 29.92/30.28 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol23
% 29.92/30.28 Y := skol25
% 29.92/30.28 Z := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (228) {G3,W4,D2,L1,V0,M1} R(200,118) { coll( skol26, skol23,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 parent0: (54824) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54825) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent0[1, 2]: (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), !
% 29.92/30.28 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X
% 29.92/30.28 , Z, Y ) }.
% 29.92/30.28 parent0: (54825) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54826) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 29.92/30.28 Y, U, W ), ! para( Z, T, X, Y ) }.
% 29.92/30.28 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 29.92/30.28 , Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 29.92/30.28 X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := U
% 29.92/30.28 T := W
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := T
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 29.92/30.28 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 29.92/30.28 parent0: (54826) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 29.92/30.28 U, W ), ! para( Z, T, X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := U
% 29.92/30.28 Y := W
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54830) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 29.92/30.28 , T ) }.
% 29.92/30.28 parent0[0, 2]: (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 29.92/30.28 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para
% 29.92/30.28 ( Z, T, Z, T ) }.
% 29.92/30.28 parent0: (54830) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 29.92/30.28 Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54831) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol24,
% 29.92/30.28 skol20 ) }.
% 29.92/30.28 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 29.92/30.28 X, Y ) }.
% 29.92/30.28 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol20, skol25,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol20
% 29.92/30.28 Z := skol25
% 29.92/30.28 T := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (271) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol25, skol26,
% 29.92/30.28 skol24, skol20 ) }.
% 29.92/30.28 parent0: (54831) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol24,
% 29.92/30.28 skol20 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54832) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 29.92/30.28 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 29.92/30.28 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 29.92/30.28 , Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 29.92/30.28 X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := U
% 29.92/30.28 T := W
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := T
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 29.92/30.28 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 29.92/30.28 parent0: (54832) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 29.92/30.28 U, W ), ! perp( Z, T, X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := U
% 29.92/30.28 Y := W
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54836) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol26, X, Y )
% 29.92/30.28 , para( skol24, skol20, X, Y ) }.
% 29.92/30.28 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 29.92/30.28 , Z, T ), para( X, Y, Z, T ) }.
% 29.92/30.28 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol20, skol25,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol20
% 29.92/30.28 Z := X
% 29.92/30.28 T := Y
% 29.92/30.28 U := skol25
% 29.92/30.28 W := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol25, skol26,
% 29.92/30.28 X, Y ), para( skol24, skol20, X, Y ) }.
% 29.92/30.28 parent0: (54836) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol26, X, Y ),
% 29.92/30.28 para( skol24, skol20, X, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54838) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol26 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (220) {G4,W4,D2,L1,V0,M1} R(200,170) { coll( skol24, skol26,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol26
% 29.92/30.28 Z := skol24
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (294) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol24, skol24,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 parent0: (54838) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54839) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ),
% 29.92/30.28 coll( skol26, X, skol24 ) }.
% 29.92/30.28 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 parent1[0]: (294) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol24, skol24,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol24
% 29.92/30.28 Y := skol26
% 29.92/30.28 Z := X
% 29.92/30.28 T := skol24
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (296) {G6,W8,D2,L2,V1,M2} R(294,2) { ! coll( skol24, skol24, X
% 29.92/30.28 ), coll( skol26, X, skol24 ) }.
% 29.92/30.28 parent0: (54839) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ), coll(
% 29.92/30.28 skol26, X, skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54841) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (225) {G3,W4,D2,L1,V0,M1} R(200,160) { coll( skol25, skol23,
% 29.92/30.28 skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol25
% 29.92/30.28 Y := skol23
% 29.92/30.28 Z := skol25
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (315) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol25, skol25,
% 29.92/30.28 skol23 ) }.
% 29.92/30.28 parent0: (54841) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54843) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 29.92/30.28 coll( X, skol23, skol25 ) }.
% 29.92/30.28 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 parent1[0]: (315) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol25, skol25,
% 29.92/30.28 skol23 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol25
% 29.92/30.28 Y := X
% 29.92/30.28 Z := skol23
% 29.92/30.28 T := skol25
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (318) {G5,W8,D2,L2,V1,M2} R(315,2) { ! coll( skol25, skol25, X
% 29.92/30.28 ), coll( X, skol23, skol25 ) }.
% 29.92/30.28 parent0: (54843) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 29.92/30.28 X, skol23, skol25 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54844) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol23 )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (228) {G3,W4,D2,L1,V0,M1} R(200,118) { coll( skol26, skol23,
% 29.92/30.28 skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol26
% 29.92/30.28 Y := skol23
% 29.92/30.28 Z := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (321) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26,
% 29.92/30.28 skol23 ) }.
% 29.92/30.28 parent0: (54844) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol23 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54845) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 29.92/30.28 coll( skol23, X, skol26 ) }.
% 29.92/30.28 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 parent1[0]: (321) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26,
% 29.92/30.28 skol23 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol26
% 29.92/30.28 Y := skol23
% 29.92/30.28 Z := X
% 29.92/30.28 T := skol26
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (323) {G5,W8,D2,L2,V1,M2} R(321,2) { ! coll( skol26, skol26, X
% 29.92/30.28 ), coll( skol23, X, skol26 ) }.
% 29.92/30.28 parent0: (54845) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 29.92/30.28 skol23, X, skol26 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54847) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol20,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 29.92/30.28 T, Z ) }.
% 29.92/30.28 parent1[0]: (271) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol25, skol26,
% 29.92/30.28 skol24, skol20 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := skol25
% 29.92/30.28 Y := skol26
% 29.92/30.28 Z := skol24
% 29.92/30.28 T := skol20
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (334) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol26,
% 29.92/30.28 skol20, skol24 ) }.
% 29.92/30.28 parent0: (54847) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol20,
% 29.92/30.28 skol24 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54849) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 29.92/30.28 ( X, Z, Y, T ) }.
% 29.92/30.28 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Y, T, Z ) }.
% 29.92/30.28 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Z, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.28 cyclic( X, Z, T, Y ) }.
% 29.92/30.28 parent0: (54849) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 29.92/30.28 , Z, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54850) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 29.92/30.28 ( X, Z, Y, T ) }.
% 29.92/30.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 29.92/30.28 , X, Z, T ) }.
% 29.92/30.28 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Z, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 29.92/30.28 cyclic( Y, Z, X, T ) }.
% 29.92/30.28 parent0: (54850) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 29.92/30.28 , Z, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54851) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 29.92/30.28 ( X, Y, T, Z ) }.
% 29.92/30.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 29.92/30.28 , X, Z, T ) }.
% 29.92/30.28 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Y, T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := T
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 29.92/30.28 cyclic( Y, X, T, Z ) }.
% 29.92/30.28 parent0: (54851) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 29.92/30.28 , Y, T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54855) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 29.92/30.28 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 29.92/30.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 29.92/30.28 , X, Z, T ) }.
% 29.92/30.28 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 29.92/30.28 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 29.92/30.28 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 29.92/30.28 parent0: (54855) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 29.92/30.28 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := T
% 29.92/30.28 T := U
% 29.92/30.28 U := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 2
% 29.92/30.28 1 ==> 0
% 29.92/30.28 2 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54858) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 29.92/30.28 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.28 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 29.92/30.28 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 29.92/30.28 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 29.92/30.28 , Y, T, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := T
% 29.92/30.28 T := U
% 29.92/30.28 U := X
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := U
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.28 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.28 parent0: (54858) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 29.92/30.28 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54860) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 29.92/30.28 Y, T, T ) }.
% 29.92/30.28 parent0[0, 1]: (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 29.92/30.28 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ),
% 29.92/30.28 cyclic( Z, Y, T, T ) }.
% 29.92/30.28 parent0: (54860) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 29.92/30.28 , Y, T, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54862) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 parent1[0]: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 29.92/30.28 Z, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := X
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (390) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll(
% 29.92/30.28 Z, X, X ) }.
% 29.92/30.28 parent0: (54862) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54863) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (390) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 29.92/30.28 , X, X ) }.
% 29.92/30.28 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (397) {G6,W8,D2,L2,V3,M2} R(390,1) { coll( X, Y, Y ), ! coll(
% 29.92/30.28 Z, Y, X ) }.
% 29.92/30.28 parent0: (54863) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54864) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (390) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 29.92/30.28 , X, X ) }.
% 29.92/30.28 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (399) {G6,W8,D2,L2,V3,M2} R(390,0) { coll( X, Y, Y ), ! coll(
% 29.92/30.28 Y, X, Z ) }.
% 29.92/30.28 parent0: (54864) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54866) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (390) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 29.92/30.28 , X, X ) }.
% 29.92/30.28 parent1[0]: (397) {G6,W8,D2,L2,V3,M2} R(390,1) { coll( X, Y, Y ), ! coll( Z
% 29.92/30.28 , Y, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (401) {G7,W8,D2,L2,V3,M2} R(397,390) { ! coll( X, Y, Z ), coll
% 29.92/30.28 ( Y, Z, Z ) }.
% 29.92/30.28 parent0: (54866) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := X
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54867) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[1]: (399) {G6,W8,D2,L2,V3,M2} R(390,0) { coll( X, Y, Y ), ! coll( Y
% 29.92/30.28 , X, Z ) }.
% 29.92/30.28 parent1[0]: (399) {G6,W8,D2,L2,V3,M2} R(390,0) { coll( X, Y, Y ), ! coll( Y
% 29.92/30.28 , X, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := X
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (426) {G7,W8,D2,L2,V3,M2} R(399,399) { ! coll( X, Y, Z ), coll
% 29.92/30.28 ( X, Y, Y ) }.
% 29.92/30.28 parent0: (54867) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54871) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 29.92/30.28 X ), ! coll( X, Y, T ) }.
% 29.92/30.28 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 parent1[1]: (426) {G7,W8,D2,L2,V3,M2} R(399,399) { ! coll( X, Y, Z ), coll
% 29.92/30.28 ( X, Y, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Z
% 29.92/30.28 Z := Y
% 29.92/30.28 T := Y
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := T
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (429) {G8,W12,D2,L3,V4,M3} R(426,2) { ! coll( X, Y, Z ), !
% 29.92/30.28 coll( X, Y, T ), coll( T, Y, X ) }.
% 29.92/30.28 parent0: (54871) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 29.92/30.28 , ! coll( X, Y, T ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := T
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 2
% 29.92/30.28 2 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 factor: (54874) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 29.92/30.28 }.
% 29.92/30.28 parent0[0, 1]: (429) {G8,W12,D2,L3,V4,M3} R(426,2) { ! coll( X, Y, Z ), !
% 29.92/30.28 coll( X, Y, T ), coll( T, Y, X ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (430) {G9,W8,D2,L2,V3,M2} F(429) { ! coll( X, Y, Z ), coll( Z
% 29.92/30.28 , Y, X ) }.
% 29.92/30.28 parent0: (54874) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54875) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (430) {G9,W8,D2,L2,V3,M2} F(429) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 Y, X ) }.
% 29.92/30.28 parent1[1]: (426) {G7,W8,D2,L2,V3,M2} R(399,399) { ! coll( X, Y, Z ), coll
% 29.92/30.28 ( X, Y, Y ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (431) {G10,W8,D2,L2,V3,M2} R(430,426) { coll( X, X, Y ), !
% 29.92/30.28 coll( Y, X, Z ) }.
% 29.92/30.28 parent0: (54875) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54876) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (430) {G9,W8,D2,L2,V3,M2} F(429) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 Y, X ) }.
% 29.92/30.28 parent1[0]: (399) {G6,W8,D2,L2,V3,M2} R(390,0) { coll( X, Y, Y ), ! coll( Y
% 29.92/30.28 , X, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (432) {G10,W8,D2,L2,V3,M2} R(430,399) { coll( X, X, Y ), !
% 29.92/30.28 coll( X, Y, Z ) }.
% 29.92/30.28 parent0: (54876) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54877) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 29.92/30.28 ) }.
% 29.92/30.28 parent0[0]: (430) {G9,W8,D2,L2,V3,M2} F(429) { ! coll( X, Y, Z ), coll( Z,
% 29.92/30.28 Y, X ) }.
% 29.92/30.28 parent1[1]: (401) {G7,W8,D2,L2,V3,M2} R(397,390) { ! coll( X, Y, Z ), coll
% 29.92/30.28 ( Y, Z, Z ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Z
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Y
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (436) {G10,W8,D2,L2,V3,M2} R(430,401) { coll( X, X, Y ), !
% 29.92/30.28 coll( Z, Y, X ) }.
% 29.92/30.28 parent0: (54877) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 29.92/30.28 }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54879) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 29.92/30.28 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.28 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.92/30.28 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := U
% 29.92/30.28 T := W
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (444) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 29.92/30.28 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 29.92/30.28 parent0: (54879) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 29.92/30.28 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := U
% 29.92/30.28 T := W
% 29.92/30.28 U := Z
% 29.92/30.28 W := T
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 1
% 29.92/30.28 1 ==> 0
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54880) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 29.92/30.28 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 29.92/30.28 T, U, W, V0, V1 ) }.
% 29.92/30.28 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 29.92/30.28 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 29.92/30.28 , U, W, V0, V1 ) }.
% 29.92/30.28 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.28 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := X
% 29.92/30.28 Y := Y
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := V2
% 29.92/30.28 W := V3
% 29.92/30.28 V0 := V4
% 29.92/30.28 V1 := V5
% 29.92/30.28 V2 := U
% 29.92/30.28 V3 := W
% 29.92/30.28 V4 := V0
% 29.92/30.28 V5 := V1
% 29.92/30.28 end
% 29.92/30.28 substitution1:
% 29.92/30.28 X := Y
% 29.92/30.28 Y := X
% 29.92/30.28 Z := Z
% 29.92/30.28 T := T
% 29.92/30.28 U := U
% 29.92/30.28 W := W
% 29.92/30.28 V0 := V0
% 29.92/30.28 V1 := V1
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 subsumption: (466) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 29.92/30.28 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 29.92/30.28 V2, V4, V5, X, Y, Z, T ) }.
% 29.92/30.28 parent0: (54880) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 29.92/30.28 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 29.92/30.28 , W, V0, V1 ) }.
% 29.92/30.28 substitution0:
% 29.92/30.28 X := V2
% 29.92/30.28 Y := V3
% 29.92/30.28 Z := V4
% 29.92/30.28 T := V5
% 29.92/30.28 U := X
% 29.92/30.28 W := Y
% 29.92/30.28 V0 := Z
% 29.92/30.28 V1 := T
% 29.92/30.28 V2 := U
% 29.92/30.28 V3 := W
% 29.92/30.28 V4 := V0
% 29.92/30.28 V5 := V1
% 29.92/30.28 end
% 29.92/30.28 permutation0:
% 29.92/30.28 0 ==> 0
% 29.92/30.28 1 ==> 1
% 29.92/30.28 2 ==> 2
% 29.92/30.28 end
% 29.92/30.28
% 29.92/30.28 resolution: (54886) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 29.92/30.28 X ), ! coll( T, Y, X ) }.
% 29.92/30.28 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 29.92/30.28 ), coll( Y, Z, X ) }.
% 29.92/30.28 parent1[0]: (436) {G10,W8,D2,L2,V3,M2} R(430,401) { coll( X, X, Y ), ! coll
% 29.92/30.29 ( Z, Y, X ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := T
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (472) {G11,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), !
% 29.92/30.29 coll( Z, Z, T ), coll( Y, T, Z ) }.
% 29.92/30.29 parent0: (54886) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 29.92/30.29 , ! coll( T, Y, X ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := Z
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := T
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 1
% 29.92/30.29 1 ==> 2
% 29.92/30.29 2 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54889) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle(
% 29.92/30.29 Z, T, X, Y, Z, T, U, W ) }.
% 29.92/30.29 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 29.92/30.29 ), para( X, Y, Z, T ) }.
% 29.92/30.29 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.29 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := Z
% 29.92/30.29 Y := T
% 29.92/30.29 Z := X
% 29.92/30.29 T := Y
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 V0 := U
% 29.92/30.29 V1 := W
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (752) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 29.92/30.29 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 29.92/30.29 parent0: (54889) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle( Z,
% 29.92/30.29 T, X, Y, Z, T, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54890) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 29.92/30.29 ), ! para( X, Y, U, W ) }.
% 29.92/30.29 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.29 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 29.92/30.29 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 29.92/30.29 , Y, U, W, Z, T, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 V0 := Z
% 29.92/30.29 V1 := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (765) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 29.92/30.29 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 29.92/30.29 parent0: (54890) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 29.92/30.29 , ! para( X, Y, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 1
% 29.92/30.29 1 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54891) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 29.92/30.29 ), ! para( X, Y, U, W ) }.
% 29.92/30.29 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.29 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 29.92/30.29 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 29.92/30.29 , Y, U, W, Z, T, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 V0 := Z
% 29.92/30.29 V1 := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (767) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 29.92/30.29 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 29.92/30.29 parent0: (54891) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 29.92/30.29 , ! para( X, Y, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 1
% 29.92/30.29 1 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54892) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 29.92/30.29 ), ! para( X, Y, T, Z ) }.
% 29.92/30.29 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 29.92/30.29 , Y, U, W, Z, T, U, W ) }.
% 29.92/30.29 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 29.92/30.29 T, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := T
% 29.92/30.29 T := Z
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (771) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 29.92/30.29 , Z, T ), ! para( X, Y, W, U ) }.
% 29.92/30.29 parent0: (54892) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 29.92/30.29 , ! para( X, Y, T, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54893) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 29.92/30.29 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 29.92/30.29 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 29.92/30.29 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 29.92/30.29 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.29 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := Y
% 29.92/30.29 Y := Z
% 29.92/30.29 Z := X
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := T
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := T
% 29.92/30.29 T := Z
% 29.92/30.29 U := X
% 29.92/30.29 W := Y
% 29.92/30.29 V0 := X
% 29.92/30.29 V1 := Z
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (825) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 29.92/30.29 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 29.92/30.29 parent0: (54893) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 29.92/30.29 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := T
% 29.92/30.29 Z := Z
% 29.92/30.29 T := Y
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 2 ==> 2
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54894) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 29.92/30.29 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 29.92/30.29 cyclic( X, Y, Z, T ) }.
% 29.92/30.29 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 29.92/30.29 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 29.92/30.29 ), cong( X, Y, Z, T ) }.
% 29.92/30.29 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 29.92/30.29 Z, X, Z, Y, T, X, T, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := X
% 29.92/30.29 T := Y
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 factor: (54896) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 29.92/30.29 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 29.92/30.29 parent0[0, 2]: (54894) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 29.92/30.29 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 29.92/30.29 cyclic( X, Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (896) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 29.92/30.29 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 29.92/30.29 parent0: (54896) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 29.92/30.29 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 2 ==> 3
% 29.92/30.29 3 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 factor: (54901) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 29.92/30.29 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 29.92/30.29 parent0[0, 2]: (896) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 29.92/30.29 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (928) {G2,W15,D2,L3,V3,M3} F(896) { ! cyclic( X, Y, Z, X ), !
% 29.92/30.29 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 29.92/30.29 parent0: (54901) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 29.92/30.29 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 2 ==> 2
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54903) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol22 ),
% 29.92/30.29 skol25, skol25, skol22 ) }.
% 29.92/30.29 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 29.92/30.29 skol12( X, Y ), X, X, Y ) }.
% 29.92/30.29 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol25, skol26,
% 29.92/30.29 skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := skol22
% 29.92/30.29 Z := skol26
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (4816) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 29.92/30.29 skol22 ), skol25, skol25, skol22 ) }.
% 29.92/30.29 parent0: (54903) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol22 ),
% 29.92/30.29 skol25, skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54904) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol22, skol12(
% 29.92/30.29 skol25, skol22 ), skol25 ) }.
% 29.92/30.29 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 29.92/30.29 X, Y ) }.
% 29.92/30.29 parent1[0]: (4816) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 29.92/30.29 skol22 ), skol25, skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol12( skol25, skol22 )
% 29.92/30.29 Y := skol25
% 29.92/30.29 Z := skol25
% 29.92/30.29 T := skol22
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7003) {G2,W7,D3,L1,V0,M1} R(4816,7) { perp( skol25, skol22,
% 29.92/30.29 skol12( skol25, skol22 ), skol25 ) }.
% 29.92/30.29 parent0: (54904) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol22, skol12(
% 29.92/30.29 skol25, skol22 ), skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54905) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol22, skol25,
% 29.92/30.29 skol12( skol25, skol22 ) ) }.
% 29.92/30.29 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 29.92/30.29 T, Z ) }.
% 29.92/30.29 parent1[0]: (7003) {G2,W7,D3,L1,V0,M1} R(4816,7) { perp( skol25, skol22,
% 29.92/30.29 skol12( skol25, skol22 ), skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := skol22
% 29.92/30.29 Z := skol12( skol25, skol22 )
% 29.92/30.29 T := skol25
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7014) {G3,W7,D3,L1,V0,M1} R(7003,6) { perp( skol25, skol22,
% 29.92/30.29 skol25, skol12( skol25, skol22 ) ) }.
% 29.92/30.29 parent0: (54905) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol22, skol25,
% 29.92/30.29 skol12( skol25, skol22 ) ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54906) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 29.92/30.29 skol22 ), skol25, skol22 ) }.
% 29.92/30.29 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 29.92/30.29 X, Y ) }.
% 29.92/30.29 parent1[0]: (7014) {G3,W7,D3,L1,V0,M1} R(7003,6) { perp( skol25, skol22,
% 29.92/30.29 skol25, skol12( skol25, skol22 ) ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := skol22
% 29.92/30.29 Z := skol25
% 29.92/30.29 T := skol12( skol25, skol22 )
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7028) {G4,W7,D3,L1,V0,M1} R(7014,7) { perp( skol25, skol12(
% 29.92/30.29 skol25, skol22 ), skol25, skol22 ) }.
% 29.92/30.29 parent0: (54906) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 29.92/30.29 skol22 ), skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54907) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 29.92/30.29 , skol22 ), skol25, skol22 ), alpha1( skol25, skol25, skol22 ) }.
% 29.92/30.29 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 29.92/30.29 T, X, Z ), alpha1( X, Y, Z ) }.
% 29.92/30.29 parent1[0]: (7028) {G4,W7,D3,L1,V0,M1} R(7014,7) { perp( skol25, skol12(
% 29.92/30.29 skol25, skol22 ), skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := skol25
% 29.92/30.29 Z := skol22
% 29.92/30.29 T := skol12( skol25, skol22 )
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54908) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol22 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (54907) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 29.92/30.29 , skol22 ), skol25, skol22 ), alpha1( skol25, skol25, skol22 ) }.
% 29.92/30.29 parent1[0]: (7028) {G4,W7,D3,L1,V0,M1} R(7014,7) { perp( skol25, skol12(
% 29.92/30.29 skol25, skol22 ), skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7059) {G5,W4,D2,L1,V0,M1} R(7028,96);r(7028) { alpha1( skol25
% 29.92/30.29 , skol25, skol22 ) }.
% 29.92/30.29 parent0: (54908) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol22 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54909) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22
% 29.92/30.29 ), skol22, skol25 ) }.
% 29.92/30.29 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 29.92/30.29 ( X, T, Z ), Z, X ) }.
% 29.92/30.29 parent1[0]: (7059) {G5,W4,D2,L1,V0,M1} R(7028,96);r(7028) { alpha1( skol25
% 29.92/30.29 , skol25, skol22 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := skol25
% 29.92/30.29 Z := skol22
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7076) {G6,W7,D3,L1,V1,M1} R(7059,97) { coll( skol11( skol25,
% 29.92/30.29 X, skol22 ), skol22, skol25 ) }.
% 29.92/30.29 parent0: (54909) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22 ),
% 29.92/30.29 skol22, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54910) {G2,W7,D3,L1,V1,M1} { coll( skol25, skol25, skol11(
% 29.92/30.29 skol25, X, skol22 ) ) }.
% 29.92/30.29 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 29.92/30.29 , X ) }.
% 29.92/30.29 parent1[0]: (7076) {G6,W7,D3,L1,V1,M1} R(7059,97) { coll( skol11( skol25, X
% 29.92/30.29 , skol22 ), skol22, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol11( skol25, X, skol22 )
% 29.92/30.29 Y := skol22
% 29.92/30.29 Z := skol25
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (7159) {G7,W7,D3,L1,V1,M1} R(7076,122) { coll( skol25, skol25
% 29.92/30.29 , skol11( skol25, X, skol22 ) ) }.
% 29.92/30.29 parent0: (54910) {G2,W7,D3,L1,V1,M1} { coll( skol25, skol25, skol11(
% 29.92/30.29 skol25, X, skol22 ) ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54911) {G2,W5,D2,L1,V0,M1} { para( skol24, skol20, skol20,
% 29.92/30.29 skol24 ) }.
% 29.92/30.29 parent0[0]: (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol25, skol26, X
% 29.92/30.29 , Y ), para( skol24, skol20, X, Y ) }.
% 29.92/30.29 parent1[0]: (334) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol26,
% 29.92/30.29 skol20, skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol24
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19129) {G3,W5,D2,L1,V0,M1} R(286,334) { para( skol24, skol20
% 29.92/30.29 , skol20, skol24 ) }.
% 29.92/30.29 parent0: (54911) {G2,W5,D2,L1,V0,M1} { para( skol24, skol20, skol20,
% 29.92/30.29 skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54912) {G3,W5,D2,L1,V0,M1} { para( skol20, skol24, skol20,
% 29.92/30.29 skol24 ) }.
% 29.92/30.29 parent0[0]: (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para
% 29.92/30.29 ( Z, T, Z, T ) }.
% 29.92/30.29 parent1[0]: (19129) {G3,W5,D2,L1,V0,M1} R(286,334) { para( skol24, skol20,
% 29.92/30.29 skol20, skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol24
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol24
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19133) {G4,W5,D2,L1,V0,M1} R(19129,252) { para( skol20,
% 29.92/30.29 skol24, skol20, skol24 ) }.
% 29.92/30.29 parent0: (54912) {G3,W5,D2,L1,V0,M1} { para( skol20, skol24, skol20,
% 29.92/30.29 skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54913) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol24 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 29.92/30.29 Z ) }.
% 29.92/30.29 parent1[0]: (19133) {G4,W5,D2,L1,V0,M1} R(19129,252) { para( skol20, skol24
% 29.92/30.29 , skol20, skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol24
% 29.92/30.29 Z := skol24
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19143) {G5,W4,D2,L1,V0,M1} R(19133,66) { coll( skol20, skol24
% 29.92/30.29 , skol24 ) }.
% 29.92/30.29 parent0: (54913) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54914) {G2,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 29.92/30.29 , X ) }.
% 29.92/30.29 parent1[0]: (19143) {G5,W4,D2,L1,V0,M1} R(19133,66) { coll( skol20, skol24
% 29.92/30.29 , skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol24
% 29.92/30.29 Z := skol24
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19158) {G6,W4,D2,L1,V0,M1} R(19143,122) { coll( skol24,
% 29.92/30.29 skol24, skol20 ) }.
% 29.92/30.29 parent0: (54914) {G2,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54915) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol24 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (296) {G6,W8,D2,L2,V1,M2} R(294,2) { ! coll( skol24, skol24, X
% 29.92/30.29 ), coll( skol26, X, skol24 ) }.
% 29.92/30.29 parent1[0]: (19158) {G6,W4,D2,L1,V0,M1} R(19143,122) { coll( skol24, skol24
% 29.92/30.29 , skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19519) {G7,W4,D2,L1,V0,M1} R(296,19158) { coll( skol26,
% 29.92/30.29 skol20, skol24 ) }.
% 29.92/30.29 parent0: (54915) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54916) {G8,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[1]: (432) {G10,W8,D2,L2,V3,M2} R(430,399) { coll( X, X, Y ), ! coll
% 29.92/30.29 ( X, Y, Z ) }.
% 29.92/30.29 parent1[0]: (19519) {G7,W4,D2,L1,V0,M1} R(296,19158) { coll( skol26, skol20
% 29.92/30.29 , skol24 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol26
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol24
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (19570) {G11,W4,D2,L1,V0,M1} R(19519,432) { coll( skol26,
% 29.92/30.29 skol26, skol20 ) }.
% 29.92/30.29 parent0: (54916) {G8,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54917) {G6,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22
% 29.92/30.29 ), skol23, skol25 ) }.
% 29.92/30.29 parent0[0]: (318) {G5,W8,D2,L2,V1,M2} R(315,2) { ! coll( skol25, skol25, X
% 29.92/30.29 ), coll( X, skol23, skol25 ) }.
% 29.92/30.29 parent1[0]: (7159) {G7,W7,D3,L1,V1,M1} R(7076,122) { coll( skol25, skol25,
% 29.92/30.29 skol11( skol25, X, skol22 ) ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol11( skol25, X, skol22 )
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (20657) {G8,W7,D3,L1,V1,M1} R(318,7159) { coll( skol11( skol25
% 29.92/30.29 , X, skol22 ), skol23, skol25 ) }.
% 29.92/30.29 parent0: (54917) {G6,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22 ),
% 29.92/30.29 skol23, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54918) {G6,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol26 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (323) {G5,W8,D2,L2,V1,M2} R(321,2) { ! coll( skol26, skol26, X
% 29.92/30.29 ), coll( skol23, X, skol26 ) }.
% 29.92/30.29 parent1[0]: (19570) {G11,W4,D2,L1,V0,M1} R(19519,432) { coll( skol26,
% 29.92/30.29 skol26, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (20728) {G12,W4,D2,L1,V0,M1} R(323,19570) { coll( skol23,
% 29.92/30.29 skol20, skol26 ) }.
% 29.92/30.29 parent0: (54918) {G6,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol26 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54919) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[1]: (432) {G10,W8,D2,L2,V3,M2} R(430,399) { coll( X, X, Y ), ! coll
% 29.92/30.29 ( X, Y, Z ) }.
% 29.92/30.29 parent1[0]: (20728) {G12,W4,D2,L1,V0,M1} R(323,19570) { coll( skol23,
% 29.92/30.29 skol20, skol26 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol23
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol26
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (20790) {G13,W4,D2,L1,V0,M1} R(20728,432) { coll( skol23,
% 29.92/30.29 skol23, skol20 ) }.
% 29.92/30.29 parent0: (54919) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54920) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22
% 29.92/30.29 ), skol25, skol23 ) }.
% 29.92/30.29 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 29.92/30.29 }.
% 29.92/30.29 parent1[0]: (20657) {G8,W7,D3,L1,V1,M1} R(318,7159) { coll( skol11( skol25
% 29.92/30.29 , X, skol22 ), skol23, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol11( skol25, X, skol22 )
% 29.92/30.29 Y := skol23
% 29.92/30.29 Z := skol25
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (21246) {G9,W7,D3,L1,V1,M1} R(20657,0) { coll( skol11( skol25
% 29.92/30.29 , X, skol22 ), skol25, skol23 ) }.
% 29.92/30.29 parent0: (54920) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol22 ),
% 29.92/30.29 skol25, skol23 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54922) {G12,W8,D2,L2,V2,M2} { ! coll( X, Y, skol23 ), coll( Y
% 29.92/30.29 , skol20, skol23 ) }.
% 29.92/30.29 parent0[1]: (472) {G11,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), !
% 29.92/30.29 coll( Z, Z, T ), coll( Y, T, Z ) }.
% 29.92/30.29 parent1[0]: (20790) {G13,W4,D2,L1,V0,M1} R(20728,432) { coll( skol23,
% 29.92/30.29 skol23, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := skol23
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (35084) {G14,W8,D2,L2,V2,M2} R(472,20790) { ! coll( X, Y,
% 29.92/30.29 skol23 ), coll( Y, skol20, skol23 ) }.
% 29.92/30.29 parent0: (54922) {G12,W8,D2,L2,V2,M2} { ! coll( X, Y, skol23 ), coll( Y,
% 29.92/30.29 skol20, skol23 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 1 ==> 1
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54923) {G10,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (35084) {G14,W8,D2,L2,V2,M2} R(472,20790) { ! coll( X, Y,
% 29.92/30.29 skol23 ), coll( Y, skol20, skol23 ) }.
% 29.92/30.29 parent1[0]: (21246) {G9,W7,D3,L1,V1,M1} R(20657,0) { coll( skol11( skol25,
% 29.92/30.29 X, skol22 ), skol25, skol23 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol11( skol25, X, skol22 )
% 29.92/30.29 Y := skol25
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (35274) {G15,W4,D2,L1,V0,M1} R(35084,21246) { coll( skol25,
% 29.92/30.29 skol20, skol23 ) }.
% 29.92/30.29 parent0: (54923) {G10,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54924) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 )
% 29.92/30.29 }.
% 29.92/30.29 parent0[1]: (431) {G10,W8,D2,L2,V3,M2} R(430,426) { coll( X, X, Y ), ! coll
% 29.92/30.29 ( Y, X, Z ) }.
% 29.92/30.29 parent1[0]: (35274) {G15,W4,D2,L1,V0,M1} R(35084,21246) { coll( skol25,
% 29.92/30.29 skol20, skol23 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol25
% 29.92/30.29 Z := skol23
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (35342) {G16,W4,D2,L1,V0,M1} R(35274,431) { coll( skol20,
% 29.92/30.29 skol20, skol25 ) }.
% 29.92/30.29 parent0: (54924) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54925) {G1,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 29.92/30.29 skol25 ) }.
% 29.92/30.29 parent0[1]: (752) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 29.92/30.29 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 29.92/30.29 parent1[0]: (117) {G0,W9,D2,L1,V0,M1} I { eqangle( skol23, skol20, skol20,
% 29.92/30.29 skol26, skol23, skol20, skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol26
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol25
% 29.92/30.29 U := skol23
% 29.92/30.29 W := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (44435) {G2,W5,D2,L1,V0,M1} R(752,117) { para( skol20, skol26
% 29.92/30.29 , skol20, skol25 ) }.
% 29.92/30.29 parent0: (54925) {G1,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 29.92/30.29 skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54926) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 29.92/30.29 skol25 ) }.
% 29.92/30.29 parent0[0]: (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para
% 29.92/30.29 ( Z, T, Z, T ) }.
% 29.92/30.29 parent1[0]: (44435) {G2,W5,D2,L1,V0,M1} R(752,117) { para( skol20, skol26,
% 29.92/30.29 skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol26
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol25
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (44453) {G3,W5,D2,L1,V0,M1} R(44435,252) { para( skol20,
% 29.92/30.29 skol25, skol20, skol25 ) }.
% 29.92/30.29 parent0: (54926) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 29.92/30.29 skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54927) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol25, X
% 29.92/30.29 , Y, skol20, skol25 ) }.
% 29.92/30.29 parent0[0]: (767) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 29.92/30.29 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 29.92/30.29 parent1[0]: (44453) {G3,W5,D2,L1,V0,M1} R(44435,252) { para( skol20, skol25
% 29.92/30.29 , skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol25
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol25
% 29.92/30.29 U := X
% 29.92/30.29 W := Y
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (45318) {G4,W9,D2,L1,V2,M1} R(767,44453) { eqangle( X, Y,
% 29.92/30.29 skol20, skol25, X, Y, skol20, skol25 ) }.
% 29.92/30.29 parent0: (54927) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol25, X, Y
% 29.92/30.29 , skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54928) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol20,
% 29.92/30.29 skol20 ), ! eqangle( skol20, X, skol20, skol25, skol20, X, skol20, skol25
% 29.92/30.29 ) }.
% 29.92/30.29 parent0[0]: (825) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 29.92/30.29 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 29.92/30.29 parent1[0]: (35342) {G16,W4,D2,L1,V0,M1} R(35274,431) { coll( skol20,
% 29.92/30.29 skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol25
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54929) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol20,
% 29.92/30.29 skol20 ) }.
% 29.92/30.29 parent0[1]: (54928) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol20,
% 29.92/30.29 skol20 ), ! eqangle( skol20, X, skol20, skol25, skol20, X, skol20, skol25
% 29.92/30.29 ) }.
% 29.92/30.29 parent1[0]: (45318) {G4,W9,D2,L1,V2,M1} R(767,44453) { eqangle( X, Y,
% 29.92/30.29 skol20, skol25, X, Y, skol20, skol25 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48670) {G17,W5,D2,L1,V1,M1} R(825,35342);r(45318) { cyclic( X
% 29.92/30.29 , skol25, skol20, skol20 ) }.
% 29.92/30.29 parent0: (54929) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol20, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54930) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol20,
% 29.92/30.29 skol20 ) }.
% 29.92/30.29 parent0[1]: (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 29.92/30.29 cyclic( Y, X, T, Z ) }.
% 29.92/30.29 parent1[0]: (48670) {G17,W5,D2,L1,V1,M1} R(825,35342);r(45318) { cyclic( X
% 29.92/30.29 , skol25, skol20, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := X
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48841) {G18,W5,D2,L1,V1,M1} R(48670,367) { cyclic( skol25, X
% 29.92/30.29 , skol20, skol20 ) }.
% 29.92/30.29 parent0: (54930) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol20, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54931) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 29.92/30.29 skol20 ) }.
% 29.92/30.29 parent0[0]: (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ),
% 29.92/30.29 cyclic( Z, Y, T, T ) }.
% 29.92/30.29 parent1[0]: (48841) {G18,W5,D2,L1,V1,M1} R(48670,367) { cyclic( skol25, X,
% 29.92/30.29 skol20, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol25
% 29.92/30.29 Y := X
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48853) {G19,W5,D2,L1,V1,M1} R(48841,386) { cyclic( skol20, X
% 29.92/30.29 , skol20, skol20 ) }.
% 29.92/30.29 parent0: (54931) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54932) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 29.92/30.29 skol20 ) }.
% 29.92/30.29 parent0[1]: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 29.92/30.29 cyclic( Y, Z, X, T ) }.
% 29.92/30.29 parent1[0]: (48853) {G19,W5,D2,L1,V1,M1} R(48841,386) { cyclic( skol20, X,
% 29.92/30.29 skol20, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := X
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48875) {G20,W5,D2,L1,V1,M1} R(48853,365) { cyclic( skol20,
% 29.92/30.29 skol20, X, skol20 ) }.
% 29.92/30.29 parent0: (54932) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54933) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 29.92/30.29 X ) }.
% 29.92/30.29 parent0[0]: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.29 cyclic( X, Z, T, Y ) }.
% 29.92/30.29 parent1[0]: (48853) {G19,W5,D2,L1,V1,M1} R(48841,386) { cyclic( skol20, X,
% 29.92/30.29 skol20, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := X
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol20
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48876) {G20,W5,D2,L1,V1,M1} R(48853,352) { cyclic( skol20,
% 29.92/30.29 skol20, skol20, X ) }.
% 29.92/30.29 parent0: (54933) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54935) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 29.92/30.29 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 29.92/30.29 parent0[2]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.29 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.29 parent1[0]: (48875) {G20,W5,D2,L1,V1,M1} R(48853,365) { cyclic( skol20,
% 29.92/30.29 skol20, X, skol20 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := X
% 29.92/30.29 U := Y
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54936) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 29.92/30.29 }.
% 29.92/30.29 parent0[0]: (54935) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 29.92/30.29 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 29.92/30.29 parent1[0]: (48876) {G20,W5,D2,L1,V1,M1} R(48853,352) { cyclic( skol20,
% 29.92/30.29 skol20, skol20, X ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (48881) {G21,W5,D2,L1,V2,M1} R(48875,382);r(48876) { cyclic(
% 29.92/30.29 skol20, skol20, X, Y ) }.
% 29.92/30.29 parent0: (54936) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54937) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 29.92/30.29 cyclic( skol20, skol20, Z, X ) }.
% 29.92/30.29 parent0[0]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.29 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.29 parent1[0]: (48881) {G21,W5,D2,L1,V2,M1} R(48875,382);r(48876) { cyclic(
% 29.92/30.29 skol20, skol20, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := X
% 29.92/30.29 T := Y
% 29.92/30.29 U := Z
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54939) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 29.92/30.29 parent0[1]: (54937) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 29.92/30.29 cyclic( skol20, skol20, Z, X ) }.
% 29.92/30.29 parent1[0]: (48881) {G21,W5,D2,L1,V2,M1} R(48875,382);r(48876) { cyclic(
% 29.92/30.29 skol20, skol20, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := Z
% 29.92/30.29 Y := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (49077) {G22,W5,D2,L1,V3,M1} R(48881,382);r(48881) { cyclic(
% 29.92/30.29 skol20, X, Y, Z ) }.
% 29.92/30.29 parent0: (54939) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54940) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 29.92/30.29 ( skol20, X, T, Y ) }.
% 29.92/30.29 parent0[0]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 29.92/30.29 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 29.92/30.29 parent1[0]: (49077) {G22,W5,D2,L1,V3,M1} R(48881,382);r(48881) { cyclic(
% 29.92/30.29 skol20, X, Y, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := skol20
% 29.92/30.29 Y := X
% 29.92/30.29 Z := Y
% 29.92/30.29 T := Z
% 29.92/30.29 U := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54942) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 29.92/30.29 parent0[1]: (54940) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 29.92/30.29 ( skol20, X, T, Y ) }.
% 29.92/30.29 parent1[0]: (49077) {G22,W5,D2,L1,V3,M1} R(48881,382);r(48881) { cyclic(
% 29.92/30.29 skol20, X, Y, Z ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := T
% 29.92/30.29 Z := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (49096) {G23,W5,D2,L1,V4,M1} R(49077,382);r(49077) { cyclic( X
% 29.92/30.29 , Y, Z, T ) }.
% 29.92/30.29 parent0: (54942) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54945) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 29.92/30.29 , Y, X, Y ) }.
% 29.92/30.29 parent0[0]: (928) {G2,W15,D2,L3,V3,M3} F(896) { ! cyclic( X, Y, Z, X ), !
% 29.92/30.29 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 29.92/30.29 parent1[0]: (49096) {G23,W5,D2,L1,V4,M1} R(49077,382);r(49077) { cyclic( X
% 29.92/30.29 , Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54947) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 29.92/30.29 parent0[0]: (54945) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 29.92/30.29 , Y, X, Y ) }.
% 29.92/30.29 parent1[0]: (49096) {G23,W5,D2,L1,V4,M1} R(49077,382);r(49077) { cyclic( X
% 29.92/30.29 , Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (53724) {G24,W5,D2,L1,V2,M1} S(928);r(49096);r(49096) { cong(
% 29.92/30.29 X, Y, X, Y ) }.
% 29.92/30.29 parent0: (54947) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54948) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 29.92/30.29 X, Y, Z ) }.
% 29.92/30.29 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 29.92/30.29 T, Y, T ), perp( X, Y, Z, T ) }.
% 29.92/30.29 parent1[0]: (53724) {G24,W5,D2,L1,V2,M1} S(928);r(49096);r(49096) { cong( X
% 29.92/30.29 , Y, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := X
% 29.92/30.29 Z := Y
% 29.92/30.29 T := Z
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54950) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 29.92/30.29 parent0[0]: (54948) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 29.92/30.29 X, Y, Z ) }.
% 29.92/30.29 parent1[0]: (53724) {G24,W5,D2,L1,V2,M1} S(928);r(49096);r(49096) { cong( X
% 29.92/30.29 , Y, X, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Z
% 29.92/30.29 Z := Y
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (53741) {G25,W5,D2,L1,V3,M1} R(53724,56);r(53724) { perp( X, X
% 29.92/30.29 , Z, Y ) }.
% 29.92/30.29 parent0: (54950) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54951) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 29.92/30.29 X, T, U ) }.
% 29.92/30.29 parent0[0]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 29.92/30.29 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 29.92/30.29 parent1[0]: (53741) {G25,W5,D2,L1,V3,M1} R(53724,56);r(53724) { perp( X, X
% 29.92/30.29 , Z, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := X
% 29.92/30.29 Z := Y
% 29.92/30.29 T := Z
% 29.92/30.29 U := T
% 29.92/30.29 W := U
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Z
% 29.92/30.29 Z := Y
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54953) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 29.92/30.29 parent0[1]: (54951) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 29.92/30.29 X, T, U ) }.
% 29.92/30.29 parent1[0]: (53741) {G25,W5,D2,L1,V3,M1} R(53724,56);r(53724) { perp( X, X
% 29.92/30.29 , Z, Y ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := U
% 29.92/30.29 Y := Z
% 29.92/30.29 Z := T
% 29.92/30.29 T := X
% 29.92/30.29 U := Y
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := U
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := X
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (53770) {G26,W5,D2,L1,V4,M1} R(53741,279);r(53741) { para( X,
% 29.92/30.29 Y, Z, T ) }.
% 29.92/30.29 parent0: (54953) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54954) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 29.92/30.29 ) }.
% 29.92/30.29 parent0[1]: (771) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 29.92/30.29 , Z, T ), ! para( X, Y, W, U ) }.
% 29.92/30.29 parent1[0]: (53770) {G26,W5,D2,L1,V4,M1} R(53741,279);r(53741) { para( X, Y
% 29.92/30.29 , Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := W
% 29.92/30.29 T := U
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (53861) {G27,W9,D2,L1,V6,M1} S(771);r(53770) { eqangle( X, Y,
% 29.92/30.29 Z, T, U, W, Z, T ) }.
% 29.92/30.29 parent0: (54954) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54955) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 29.92/30.29 ) }.
% 29.92/30.29 parent0[0]: (765) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 29.92/30.29 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 29.92/30.29 parent1[0]: (53770) {G26,W5,D2,L1,V4,M1} R(53741,279);r(53741) { para( X, Y
% 29.92/30.29 , Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (53863) {G27,W9,D2,L1,V6,M1} S(765);r(53770) { eqangle( X, Y,
% 29.92/30.29 Z, T, U, W, U, W ) }.
% 29.92/30.29 parent0: (54955) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54956) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 29.92/30.29 ) }.
% 29.92/30.29 parent0[0]: (444) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 29.92/30.29 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 29.92/30.29 parent1[0]: (53861) {G27,W9,D2,L1,V6,M1} S(771);r(53770) { eqangle( X, Y, Z
% 29.92/30.29 , T, U, W, Z, T ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 V0 := Z
% 29.92/30.29 V1 := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (54048) {G28,W9,D2,L1,V6,M1} R(53861,444) { eqangle( X, Y, X,
% 29.92/30.29 Y, Z, T, U, W ) }.
% 29.92/30.29 parent0: (54956) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := Z
% 29.92/30.29 Y := T
% 29.92/30.29 Z := X
% 29.92/30.29 T := Y
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54957) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 29.92/30.29 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 29.92/30.29 parent0[0]: (466) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 29.92/30.29 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 29.92/30.29 , V4, V5, X, Y, Z, T ) }.
% 29.92/30.29 parent1[0]: (54048) {G28,W9,D2,L1,V6,M1} R(53861,444) { eqangle( X, Y, X, Y
% 29.92/30.29 , Z, T, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := X
% 29.92/30.29 T := Y
% 29.92/30.29 U := Z
% 29.92/30.29 W := T
% 29.92/30.29 V0 := U
% 29.92/30.29 V1 := W
% 29.92/30.29 V2 := V0
% 29.92/30.29 V3 := V1
% 29.92/30.29 V4 := V2
% 29.92/30.29 V5 := V3
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54959) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 29.92/30.29 V1 ) }.
% 29.92/30.29 parent0[1]: (54957) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 29.92/30.29 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 29.92/30.29 parent1[0]: (53863) {G27,W9,D2,L1,V6,M1} S(765);r(53770) { eqangle( X, Y, Z
% 29.92/30.29 , T, U, W, U, W ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := V2
% 29.92/30.29 Y := V3
% 29.92/30.29 Z := U
% 29.92/30.29 T := W
% 29.92/30.29 U := V0
% 29.92/30.29 W := V1
% 29.92/30.29 V0 := X
% 29.92/30.29 V1 := Y
% 29.92/30.29 V2 := Z
% 29.92/30.29 V3 := T
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := Y
% 29.92/30.29 Y := X
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := V2
% 29.92/30.29 W := V3
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (54050) {G29,W9,D2,L1,V8,M1} R(54048,466);r(53863) { eqangle(
% 29.92/30.29 X, Y, Z, T, U, W, V0, V1 ) }.
% 29.92/30.29 parent0: (54959) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 29.92/30.29 }.
% 29.92/30.29 substitution0:
% 29.92/30.29 X := X
% 29.92/30.29 Y := Y
% 29.92/30.29 Z := Z
% 29.92/30.29 T := T
% 29.92/30.29 U := U
% 29.92/30.29 W := W
% 29.92/30.29 V0 := V0
% 29.92/30.29 V1 := V1
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 0 ==> 0
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 resolution: (54960) {G1,W0,D0,L0,V0,M0} { }.
% 29.92/30.29 parent0[0]: (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol20, skol20
% 29.92/30.29 , skol23, skol23, skol20, skol20, skol22 ) }.
% 29.92/30.29 parent1[0]: (54050) {G29,W9,D2,L1,V8,M1} R(54048,466);r(53863) { eqangle( X
% 29.92/30.29 , Y, Z, T, U, W, V0, V1 ) }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 substitution1:
% 29.92/30.29 X := skol24
% 29.92/30.29 Y := skol20
% 29.92/30.29 Z := skol20
% 29.92/30.29 T := skol23
% 29.92/30.29 U := skol23
% 29.92/30.29 W := skol20
% 29.92/30.29 V0 := skol20
% 29.92/30.29 V1 := skol22
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 subsumption: (54051) {G30,W0,D0,L0,V0,M0} R(54050,121) { }.
% 29.92/30.29 parent0: (54960) {G1,W0,D0,L0,V0,M0} { }.
% 29.92/30.29 substitution0:
% 29.92/30.29 end
% 29.92/30.29 permutation0:
% 29.92/30.29 end
% 29.92/30.29
% 29.92/30.29 Proof check complete!
% 29.92/30.29
% 29.92/30.29 Memory use:
% 29.92/30.29
% 29.92/30.29 space for terms: 767091
% 29.92/30.29 space for clauses: 2220110
% 29.92/30.29
% 29.92/30.29
% 29.92/30.29 clauses generated: 566264
% 29.92/30.29 clauses kept: 54052
% 29.92/30.29 clauses selected: 3008
% 29.92/30.29 clauses deleted: 14256
% 29.92/30.29 clauses inuse deleted: 2363
% 29.92/30.29
% 29.92/30.29 subsentry: 33836748
% 29.92/30.29 literals s-matched: 22261000
% 29.92/30.29 literals matched: 14019876
% 29.92/30.29 full subsumption: 2914542
% 29.92/30.29
% 29.92/30.29 checksum: 1536152374
% 29.92/30.29
% 29.92/30.29
% 29.92/30.29 Bliksem ended
%------------------------------------------------------------------------------